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Finding the Third Proportional to 8,977,830 and 13,929,895

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Solution

The third proportional to 8,977,830 and 13,929,895 is: 21,613,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977,830 : 13,929,895 = 13,929,895 : x
  2. Step 2: Convert to fraction form
    8,977,830/13,929,895 = 13,929,895/x
  3. Step 3: Cross multiply
    8,977,830x = 13,929,895 × 13,929,895
  4. Step 4: Simplify right side
    8,977,830x = 194,041,974,711,025
  5. Step 5: Solve for x
    x = 194,041,974,711,025/8,977,830
  6. Step 6: Final answer
    x = 21,613,460.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.